Linear Independence and Sums of Shifted Eigenfunctions of Two-Scale Difference Equations

The Journal of Difference Equations and Applications ◽

10.1080/10236190410001657932 ◽

2004 ◽

Vol 10 (3) ◽

pp. 309-327

Author(s):

Lothar Berg ◽

Manfred Krüppel

Keyword(s):

Difference Equations ◽

Linear Independence ◽

Scale Difference

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Eigenfunctions of Two-Scale Difference Equations and Appell Polynomials

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1025 ◽

2001 ◽

Vol 20 (2) ◽

pp. 457-488 ◽

Author(s):

Lothar Berg ◽

Manfred Krüppel

Keyword(s):

Difference Equations ◽

Appell Polynomials ◽

Scale Difference

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Some Notes on Two-Scale Difference Equations

Functional Equations and Inequalities ◽

10.1007/978-94-011-4341-7_2 ◽

2000 ◽

pp. 7-29 ◽

Author(s):

Lothar Berg ◽

Gerlind Plonka

Keyword(s):

Difference Equations ◽

Scale Difference

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De Rham’s Singular Function, Two-Scale Difference Equations and Appell Polynomials

Results in Mathematics ◽

10.1007/bf03322429 ◽

2000 ◽

Vol 38 (1-2) ◽

pp. 18-47 ◽

Author(s):

L. Berg ◽

M. Krüppel

Keyword(s):

Difference Equations ◽

Singular Function ◽

Appell Polynomials ◽

Scale Difference

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Erratum to Eigenfunctions of Twxo-Scale Difference Equations with Dilation Parameter and Infinite Products

Results in Mathematics ◽

10.1007/bf03323035 ◽

2005 ◽

Vol 47 (3-4) ◽

pp. 355-357

Author(s):

Manfred Krüppel

Keyword(s):

Difference Equations ◽

Infinite Products ◽

Scale Difference

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Compactly supported solutions of two-scale difference equations

Linear Algebra and its Applications ◽

10.1016/s0024-3795(97)10012-x ◽

1998 ◽

Vol 275-276 ◽

pp. 49-75 ◽

Author(s):

Lothar Berg ◽

Gerlind Plonka

Keyword(s):

Difference Equations ◽

Compactly Supported ◽

Scale Difference ◽

Compactly Supported Solutions

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Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions

SIAM Journal on Mathematical Analysis ◽

10.1137/0522089 ◽

1991 ◽

Vol 22 (5) ◽

pp. 1388-1410 ◽

Author(s):

Ingrid Daubechies ◽

Jeffrey C. Lagarias

Keyword(s):

Difference Equations ◽

Global Regularity ◽

Regularity Of Solutions ◽

Scale Difference

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Eigenfunctions of Two-Scale Difference Equations with Dilation Parameter and Infinite Products

Results in Mathematics ◽

10.1007/bf03323015 ◽

2005 ◽

Vol 47 (1-2) ◽

pp. 93-114

Author(s):

Manfred Krüppel

Keyword(s):

Difference Equations ◽

Infinite Products ◽

Scale Difference

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Three-time-scale difference equations with application to open-loop optimal control problem

Lecture Notes in Mathematics - Singular Perturbation Analysis of Discrete Control Systems ◽

10.1007/bfb0074763 ◽

1985 ◽

pp. 120-147

Author(s):

Desineni S. Naidu ◽

Ayalasomayajula K. Rao

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Difference Equations ◽

Open Loop ◽

Scale Difference

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On a Simple System of Discrete Two-Scale Difference Equations

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/994 ◽

2000 ◽

Vol 19 (4) ◽

pp. 999-1016 ◽

Author(s):

Lothar Berg ◽

Manfred Krüppel

Keyword(s):

Difference Equations ◽

Simple System ◽

Scale Difference

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Eigenfunctions of Two-Scale Difference Equations with Rational Symbol

Results in Mathematics ◽

10.1007/bf03322984 ◽

2003 ◽

Vol 44 (3-4) ◽

pp. 226-241 ◽

Author(s):

Lothar Berg ◽

Manfred Krüppel

Keyword(s):

Difference Equations ◽

Scale Difference

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